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Finding the Third Proportional to 5,182,957 and 10,697,122

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Solution

The third proportional to 5,182,957 and 10,697,122 is: 22,077,825.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182,957 : 10,697,122 = 10,697,122 : x
  2. Step 2: Convert to fraction form
    5,182,957/10,697,122 = 10,697,122/x
  3. Step 3: Cross multiply
    5,182,957x = 10,697,122 × 10,697,122
  4. Step 4: Simplify right side
    5,182,957x = 114,428,419,082,884
  5. Step 5: Solve for x
    x = 114,428,419,082,884/5,182,957
  6. Step 6: Final answer
    x = 22,077,825.28

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.